Question

(6x – 1)/14 – (x + 1)/4 = 1 срочно​

Answer 1

Ответ:

$\dfrac{ (6x-1) }{ 14 } - \dfrac{ \left( x+1 \right) }{ 4 } = 1 |*28\\ 2(6x-1)-7(x+1)=28\\12x-2-7x-7=28\\5x-9=28\\5x=37\\\\x=\dfrac{37}{5}=7\dfrac{2}{5}$

Объяснение:

Answer 2

To solve the equation (6x - 1)/14 - (x + 1)/4 = 1, we can follow these steps:

Step 1: Clear the denominators by multiplying every term in the equation by the least common multiple (LCM) of the denominators. In this case, the LCM of 14 and 4 is 28. So, we multiply every term by 28.

28 * [(6x - 1)/14] - 28 * [(x + 1)/4] = 28 * 1

Simplifying this equation gives us:

2(6x - 1) - 7(x + 1) = 28

Step 2: Distribute and simplify the equation further.

12x - 2 - 7x - 7 = 28

Combining like terms:

5x - 9 = 28

Step 3: Isolate the variable term by moving the constant term to the other side of the equation.

5x = 28 + 9

5x = 37

Step 4: Solve for x by dividing both sides of the equation by the coefficient of x.

x = 37/5

So, the solution to the equation (6x - 1)/14 - (x + 1)/4 = 1 is x = 37/5.

Please note that the solution provided is based on the given equation. If there are any errors or if you need further clarification, please let me know.